{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f673202-c42f-4ee7-85e1-1c06ae7e7202",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib as mpl\n",
    "from scipy.stats import lognorm\n",
    "from scipy.stats import beta \n",
    "import scipy as scp\n",
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rc('font',family = 'Times New Roman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "beaf9f91-7a87-4239-bda7-6645549829cc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rsquared(x,y):\n",
    "    SStot = 0\n",
    "    for i in range(len(y)):\n",
    "        SStot=SStot+(y[i]-np.mean(y))**2\n",
    "\n",
    "    SSres = 0\n",
    "\n",
    "    for i in range(len(y)):\n",
    "        SSres=SSres+(y[i]-x[i])**2\n",
    "\n",
    "    return 1-(SSres/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a058ae2-3ea5-4854-a5f2-5b272c5153f3",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "g = 9.805\n",
    "\n",
    "H = 16.5\n",
    "R = 13.9\n",
    "n = 8\n",
    "bw = 2*np.pi*R/n\n",
    "\n",
    "fillr = 0.95\n",
    "\n",
    "ro = 0.998\n",
    "ph = ro*g*H*fillr\n",
    "p = ph*bw\n",
    "\n",
    "tb = 9.5/1000\n",
    "tw = 17/1000\n",
    "A = bw*tb\n",
    "I = bw*tb**3/12\n",
    "Zp = bw*tb**2/4\n",
    "Es = 210000000\n",
    "v = 0.3 \n",
    "Fys = 235000\n",
    "My = Fys*Zp\n",
    "\n",
    "ros = 7.850 #density of steel\n",
    "Ww = ros*g*H*bw*tw #weight of wall over one side of the strip\n",
    "tr = 31/1000\n",
    "mr = 35\n",
    "Wr = mr*g #weight of roof\n",
    "Wrr = Wr/n\n",
    "mtot = ro*H*fillr*np.pi*R**2\n",
    "Wtot = mtot*g\n",
    "\n",
    "kuu = Es*bw*(tw/R)**1.5/((3*(1-v**2))**0.25)\n",
    "ktt = Es*bw*tw**2*(tw/R)**0.5/(2*(3*(1-v**2))**0.75)\n",
    "ktu = -Es*bw*tw*(tw/R)/(2*(3*(1-v**2))**0.5)\n",
    "\n",
    "kuus = kuu-ktu**2/ktt\n",
    "dtu = -ktu/(ktt*kuu-ktu**2)\n",
    "dtt = kuu/(ktt*kuu-ktu**2)\n",
    "\n",
    "Ly = (6*My/p)**0.5\n",
    "wy = p*Ly**4/(72*Es*I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bbca4ba7-f409-4296-a5a9-97bfe4c190e1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.006107811340919065"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e219adee-6f65-4307-91e2-9e3d169669ac",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#String Solution\n",
    "L = np.linspace(0,5,1000)\n",
    "N = np.zeros(len(L))\n",
    "for i in range(len(L)):\n",
    "    N[i] = 0.55*p*L[i]*((kuus/p)/(1+kuus*L[i]/(A*Es)))**(1/3)\n",
    "    \n",
    "Vs = np.zeros(len(L))\n",
    "ws = np.zeros(len(L))\n",
    "\n",
    "for i in range(len(L)):\n",
    "    Vs[i] = p*L[i]\n",
    "    if(i!=0):\n",
    "        ws[i] = p*L[i]**2/(2*N[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "170bd325-9eb9-4ebd-aa71-f80ade62832b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#Bending Solution\n",
    "wb = np.zeros(len(L))\n",
    "Vb = np.zeros(len(L))\n",
    "\n",
    "for i in range(1,len(L)):\n",
    "    M1 = -((ktt)/(ktt+2*Es*I/L[i]))*(p*L[i]**2/6)\n",
    "    if(abs(M1)>My):\n",
    "        M1 = -My\n",
    "    wb[i] = p*L[i]**4/(24*Es*I)+M1*L[i]**2/(6*Es*I)\n",
    "    Vb[i] = p*L[i]/2 - M1/L[i]\n",
    "    Lmax = 3.414*(My/p)**0.5\n",
    "    if(L[i]>=Lmax):\n",
    "        Vb[i] = p*Lmax/2 - M1/Lmax\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "971d08b4-4726-413b-8225-43b966ca97ad",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "pull = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/DDBD/ResultsBP/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "33d48d21-b1d6-4f77-8d6b-41c57a215c87",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x25078c70210>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.title('Strip of Base Plate of 11.83 m width')\n",
    "plt.plot((pull[:,1]),(pull[:,0]),label='Beam FE Model Bakalis et al.(2017)')\n",
    "plt.xlim(0,0.5)\n",
    "plt.ylim(0,5000)\n",
    "plt.plot(wb,Vb,label='Bending Solution Malhotra & Veletsos (1994)')\n",
    "plt.plot(ws,Vs,label='String Solution Malhotra & Veletsos (1994)')\n",
    "#plt.plot((0.006,0.006),(0,3000),ls='--',color='k')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "#plt.plot((0,0.0049),(0,574),color='k')\n",
    "#plt.plot((0.0049,0.5),(574,3300),color='k',label='Proposed method')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure2_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81a00a5b-501a-4096-8150-9d2c2157d5e2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rotation_Uplift(theta):\n",
    "    Lm2a=Ly+0.01\n",
    "    Lm2b=0\n",
    "    true = 0\n",
    "    while(true==0):\n",
    "        wm2 = theta/((2/Lm2a)-(1/(2*R)))\n",
    "        N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "        Lm2b = (2*wm2*N2/p)**0.5+Ly\n",
    "        if(abs(Lm2a-Lm2b)<0.001):\n",
    "            true = 1\n",
    "        else:\n",
    "            Lm2a=Lm2b\n",
    "    return wm2,Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a8540e4d-3d1c-48a2-8947-919fcac1942f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.981498944785631"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1,Lpl1 = Rotation_Uplift(0.2)\n",
    "wpl1/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "788dc88f-dc54-43d8-aea4-03ea4de3f316",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "41.93316660395856"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl2,Lpl2 = Rotation_Uplift(0.4)\n",
    "wpl2/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "67cb8b5e-f57a-4252-b05b-7bdedd456ec6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "L1t =np.linspace(0.1,0.9,1000)\n",
    "w1t =np.zeros(len(L1t))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    true = 0\n",
    "    N = 300\n",
    "    #print(L1t[i])\n",
    "\n",
    "    while(true==0):\n",
    "        lam = (N*L1t[i]**2/(Es*I))**0.5\n",
    "        dtheta = 0\n",
    "        M1 = ((p*L1t[i]/N)*(1-(2/lam)*np.tanh(lam/2))+dtu*N-dtheta)/(L1t[i]/(Es*I*lam)*np.tanh(lam/2)+dtt)\n",
    "        if(abs(M1)<My):\n",
    "            M1 = -M1\n",
    "        else:\n",
    "            M1 = -My\n",
    "\n",
    "        C = ((M1*L1t[i])/(Es*I))*(1/np.sinh(lam))+(p*L1t[i]/N)*np.tanh(lam/2)\n",
    "        D = -p*L1t[i]/N\n",
    "        u1 = (N*L1t[i]/(A*Es))-((D**2*L1t[i]/(2*lam**2))*(-0.5+((lam**2)/3)+(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))-(2*np.cosh(lam))))-((C**2*L1t[i]/(2*lam**2))*(1.5-(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))))-((C*D*L1t[i]/(2*lam**2))*(lam-1/(2*lam)-(2*np.sinh(lam))+(np.cosh(2*lam)/(2*lam))))\n",
    "\n",
    "        N1 = -(kuu-(ktu**2/ktt))*u1+(ktu/ktt)*M1\n",
    "        #print(N1)\n",
    "        if(abs(N-N1)<0.1):\n",
    "            true = 1\n",
    "        else:\n",
    "            N = N1\n",
    "        #print(N)\n",
    "    #print(i)\n",
    "    w1t[i] = (M1/N)*(1-(lam/np.sinh(lam)))+(p*L1t[i]**2/(2*N))*(1-(2/lam)*np.tanh(lam/2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "93d181ea-e20b-4dc6-8f20-01ebfbbf9d4d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "winkSpring = np.loadtxt('./ResultsBP/WinklerSprings.out')\n",
    "lb = 50/1000\n",
    "\n",
    "nZeros = np.zeros(len(winkSpring))\n",
    "Lfe = np.zeros(len(winkSpring))\n",
    "\n",
    "for i in range(len(Lfe)):\n",
    "    if(winkSpring[i][-1]==0):\n",
    "        for j in range(len(winkSpring[i])):\n",
    "            if(winkSpring[i][j] == 0):\n",
    "                nZeros[i] = nZeros[i]+1\n",
    "            \n",
    "Lfe = nZeros*lb  \n",
    "ind = []\n",
    "ind.append(0)\n",
    "for i in range(len(Lfe)-1):\n",
    "    if(Lfe[i]!=Lfe[i+1]):\n",
    "        ind.append(i+1)\n",
    "        \n",
    "for i in range(1,len(ind)):\n",
    "    delta = (Lfe[ind[i]]-Lfe[ind[i-1]])/(ind[i]-ind[i-1])\n",
    "    for j in range(ind[i-1],ind[i]):\n",
    "        Lfe[j] = Lfe[ind[i-1]] + delta*(j-ind[i-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "88a78515-5d80-419a-804f-d4313272b3d2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Uplift_SepL(w):\n",
    "    if(w<=wy):\n",
    "        return w*(Ly/wy)\n",
    "    else:\n",
    "        Lm2a=Ly+0.01\n",
    "        Lm2b=0\n",
    "        true = 0\n",
    "        while(true==0):\n",
    "            N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "            Lm2b = (2*w*N2/p)**0.5+Ly\n",
    "            if(abs(Lm2a-Lm2b)<0.0001):\n",
    "                true = 1\n",
    "            else:\n",
    "                Lm2a=Lm2b\n",
    "            #print(Lm2a)\n",
    "        return Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "417e298a-b609-47e3-b53d-70a61202c9b9",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w2 = np.linspace(0,0.5,100)\n",
    "L2 = np.zeros(len(w2))\n",
    "for i in range(len(w2)):\n",
    "    L2[i] = Uplift_SepL(w2[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "aa40cb5f-d04a-494d-b8fc-918502282482",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w3 = w1t\n",
    "L3 = np.zeros(len(w3))\n",
    "for i in range(len(w3)):\n",
    "    L3[i] = Uplift_SepL(w3[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c789244c-6f01-4d3f-88b9-0edf0f39d34f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8104726762067789"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(L3,L1t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c4bb172b-b5d7-4936-ad8f-9f463a2b5f6b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0757944685309186"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REL = np.zeros((len(L1t)))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    REL[i] = abs(L1t[i]-L3[i])\n",
    "MREL= np.mean(REL)\n",
    "MREL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "54b299e4-56de-4bd6-9fb7-6c0716046ad6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKL = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_L_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7708b543-1d77-47e4-90b2-af14816d567e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Separation Length, $L$ [m]')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot(wb,L)\n",
    "#plt.plot(ws,L)\n",
    "w1 = np.linspace(0,1.5,1000)\n",
    "L1 = np.zeros(len(w1))\n",
    "for i in range(len(w1)):\n",
    "    L1[i] = 2*w1[i]/(0.2+w1[i]/(2*R))\n",
    "\n",
    "plt.plot(w1,L1)\n",
    "plt.plot(pull[:,1],Lfe,label='Finite Elements Solution')\n",
    "plt.plot(w1t,L1t,label='Exact Solution')\n",
    "plt.plot(w2,L2,color='k',label='Proposed Solution')\n",
    "plt.plot(dataBKL[:,0]/1000,dataBKL[:,1]/1000,label='Refined FE, B&K')\n",
    "#plt.plot(ws,ws/(0.2+ws/(2*R)))\n",
    "plt.xlim(0,0.2)\n",
    "plt.ylim(0,2)\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(r'Uplift, $w$ [m]')\n",
    "plt.ylabel(r'Separation Length, $L$ [m]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ab2420b0-8805-4deb-8b70-f396faa23b8d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x250775508d0>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mAQAADCsekwAAANAPQg0AADACoQYAABiBUAMAAIxAqAEAAEYg1AAAACMYe58ap9Op119/PfIaAACYzdhQk56eroqKikRPAwAADBNOPwEAACMYe6Tm2LFjeuyxxyRJd955pzIzMxM8IwAAEE88JgEAAAyreD0mwdgjNQAAIMlYlvTJm9IbP4/LxxNqAABAfLXVS7uelt5eLzXvlQLxOUlEqAEAALHX1SntfVV6e530/suS1RXenpkjnf9VSY/H/K8k1AAAgNhp+Th8RGbn01Lb4ePbx0yRyudIE2dJgZAINQAAIPkc65D2/EHa8Stp/5bj27NHS5O+KV06Wzp9wvHtAU9cpkGoAQAA0TnyjrRjrfTX30od7k832qRxXwkflTn/einDPmzTiSrUvPzyy1qyZImeeeYZlZWVRbYvX75c9913nyTp4osv1q5duySF69WLFi1SYWGhvF6vVq1aJYfDccqxoXA4HHrhhRcirwEAQAx0uKV3NobDzOGdx7cXlEiX3ipd8i3ptJKETG3QoaahoUGdnZ3atm1bj+2BQEC1tbXavHmzJKm0tDQyNm/ePM2aNUuzZs3S2rVrVVVVpYceeuiUY0ORkZGhmTNnDvlzAABIed1V7LfXSX97TupsD29Py5Qu+Gr49NK5FVJaeiJnGd3N90KhkNLT07Vv377IkZonnnhCzc3Nuvvuu5WdnR15b11dncaNG6fW1lY5nU41NjaqtLRU9fX1amtr63MsLy/vpL83EAgoEAhEvvd4PCopKYn5zXsAAIBOrmJ3K75AKp8tXXyLlDN60B+bVDffS0s7+ZFR69ev15YtW7R8+XI9+uijuvXWWyVJ1dXVKioqijwpu7i4WHa7XVu3blV9fX2fY9OmTTvp71ixYoXuv//+Ac3x2LFjeuqppyRJ3/rWt3hMAgAAA9Fdxd6xVvrgf49Xse250kX/KF06RxpzuWSzJXaevYjZhcLV1dVqbm7Www8/rDlz5qiwsFAzZ87UoUOHNGrUqB7vzcvLU11dnY4cOdLnWG+qqqq0YMGCyPfdR2p6EwwGdfvtt0uSbrrpJkINAAD9GUgV25GbuPkNQEzbT6NHj9bSpUtls9m0Zs0azZw5UzabLXIkplswGFRmZma/Y71xOBxc9AsAQKwMtoqd5OJS6Z4/f742bNggSXK5XHK73T3GvV6vXC6XQqFQn2MAACBODv81fNFvklSxYyUuoSYtLU3l5eWSpIqKCt15550KBoOy2+2RU0tTpkzR+PHj+xwDAAAx1OGW3tkg7ViXdFXsWIkq1HQXprr/29TUpBdeeEGzZ89WWlqaVq9erWXLlkkKH6mZMWOGampqdPXVV2vTpk2qrKyU0+nsdwwAAAzRCKlix8qgK91er1fr1q1TZWWllixZorvuukttbW2aPn260tPTNXXqVC1YsEATJ06M/JmmpiYtXrxYZWVlamlp0cqVK2W32085dir9VcJ8Pp9yc3Mjc87JyRnMjwkAwMjVbxV7jnTxP0VVxY6VeFW6o7pPTbIg1AAA8KlTVbHL50pnX5YUVeykuk/NSOBwOPTMM89EXgMAYCQDqtixYmyoycjI0E033ZToaQAAEHvH2j+tYq81ooodK8aGGgAAjNNXFXv8tHCQGaFV7FgxNtR0dnbqd7/7nSRp1qxZysgw9kcFAJgsBarYsWLsb/pAIKCbb75ZUvhCYUINAGDE6K5i71gr7X7e+Cp2rPCbHgCAZNFdxd6xTmr56Pj2JKliJztCDQAAidTVKe3dHA4ySV7FTnaEGgAAEqG7iv32U5L3yPHtKVjFjhVCDQAAw4UqdlwRagAAiLfDfw0HmXeeoYodR4QaAADiof2o9O7GcJg5vOv49oKxn1ax/5kqdowZG2rsdrt+8YtfRF4DABB3p6pil8+RzqmQ0tISOUtjGRtqMjMzddtttyV6GgCAVEAVOykYG2oAAIgrqthJx9hQ09nZqVdeeUWSdO2113JHYQBAbPRVxS75+/BFv1SxE8bY3/SBQEBf/epXJfGYBADAEFHFHhH4TQ8AQF+oYo8ohBoAAD6LKvaIRagBAMCypE/eCF/0SxV7xCLUAABSF1VsoxBqAACphSq2sQg1AIDU0PxRuIq982mq2IYyNtTY7Xb993//d+Q1ACAFUcVOKcaGmszMTM2fPz/R0wAAJEJ/VezyOdLnrqOKbSBjQw0AIMVQxU55xoaarq4ubdkSPtQ4depUpaenJ3hGAICY61HFfk7q7AhvT7dLE2ZSxU4xxoaajo4OffnLX5YUfkxCTk5OgmcEAIgZqtjohbGhBgBgGKrYOAVCDQAguVHFxgARagAAyedUVezyOVLx+YmbH5ISoQYAkDwO7wqfXqKKjSgQagAAiUUVGzFCqAEADD+q2IgDY0NNZmamHnjggchrAEASaDsSvuD37fVUsRFzNsuyrERPIloej0cFBQVyu93Kz89P9HQAAL2JVLHXSh+8ckIV+xvhMEMVO6XE6/e3sUdqAAAJ1l8Vu3yOdOE/UMVGTBkbarq6urRjxw5JUnl5OY9JAIDhQBUbCWRsqOno6NCUKVMk8ZgEAIg7qthIAsaGGgBAnLUfld7ZIL29jio2kgKhBgAwcJEq9lpp9/NUsZFUCDUAgFPrq4p9+oXh5y9RxUYSINQAAHpHFRsjDKEGANATVWyMUIQaAEA/VewiadItVLExIhgbajIzM7VkyZLIawBAL6hiwyA8JgEAUg1VbCQYj0kAAESv3yr2V6Xy2VSxMeIZG2pCoZD27NkjSbrggguUxj9UAKmovyp291Oxs0clbn5ADBkbatrb23XRRRdJ4jEJAFIMVWykKGNDDQCkHKrYSHFRhZqXX35ZS5Ys0TPPPKOysjJJks/n06JFi1RYWCiv16tVq1bJ4XAMaQwAcArH2qXdvw9f9EsVGylu0BeaNDQ0qLOzU9u2beuxfd68eZo+fbqWLVum8vJyVVVVDXkMANCHw7ukF78vrT5f+t2dnwYamzR+unTzWmnBHuna5QQapJSoKt2hUEjp6enat2+fysrKVFdXp3Hjxqm1tVVOp1ONjY0qLS1VfX292traohrLy8s75Tz6q4T5fD7l5oYPs3JNDQAjUMWGIZKq0n1ik6i6ulpFRUVyOp2SpOLiYtntdm3dulX19fVRjU2bNu2kvzcQCCgQCES+93g80UwfAEYOqtjAgMXkQuFDhw5p1KielcC8vDzV1dXpyJEjUY31ZsWKFbr//vtjMWUASG6RKvY6qeXj49upYgN9ikmosdlskaMt3YLBoDIzM6Me601VVZUWLFgQ+d7j8aikpPdDrZmZmfqP//iPyGsASHpUsYEhiUmocblccrvdPbZ5vV65XC6FQqGoxnrjcDgG3Iyy2+168MEHB/FTAECCUMUGYiLqZz/ZbLYeFwp/7nOfU0tLi+x2u+rq6nTeeeepublZLS0tUY2deASnNzz7CcCIRRUbKSypLhTuzkHd/3W5XJoxY4Zqamp09dVXa9OmTaqsrJTT6Yx6bKhCoZAOHDggSRo7diyPSQCQHA7vCp9e+usGKfDZp2JPD1/0y1OxgagN+kiN1+vVunXrVFlZqSVLluiuu+5SUVGRmpqatHjxYpWVlamlpUUrV66U3R7+hxnt2KlQ6QYwInRXsXeslY789fj2grHhIHPJP0sFYxI2PWC4xetITdSnn5IBoQZA0qKKDfQpqU4/AQD6QBUbSBhCDQAMVVen9OGmcJDptYo9Vzq7nCo2EGeEGgCIVvNH4SCz89dUsYEkQKgBgMHormLvWCt98n/Ht1PFBhKOUAMAA0EVG0h6xoaajIwMVVZWRl4DwKBRxQZGFGN/2zscDj3yyCOJngaAkcaypP3/F75Whio2MKIYG2oAYFDajkg7nwo/g4kqNjAiGRtqLMtSU1OTJKmoqEg2qpQATkQVGzCKsaHG7/fr9NNPl8QdhQGcoM8q9ufDp5eoYgMjkrGhBgB66K+Kfck3pUtnU8UGRjhCDQCz9VbFtqVJ46ZRxQYMQ6gBYB6q2EBKItQAMMMpq9hzpHOuoooNGIxQA2Bko4oN4FOEGgAjT3cVe8fa8H8/W8X+uxulS+dQxQZSkLGhJiMjQ3Pnzo28BmCASBX7aclbf3w7VWwAMjjUOBwO/fKXv0z0NAAMFVVsAANkbKgBMMLV7Qwflem1ij1H+twMqtgAejA21FiWJb/fL0nKzs7mMQnASNDeKr2zkSo2gKgYG2r8fr9yc8Pn1nlMApDEuqvYO9ZKe35PFRtA1IwNNQCSnOewtOtpacc6qXXf8e1UsQFEiVADYPhQxQYQR4QaAPFHFRvAMCDUAIiPoD98jcyOdX1UsedIxZ9L3PwAGIdQAyC2qGIDSBBCDYCh66uKfdrY8M3xqGIDGAbGhpr09HTdeOONkdcAYqy/KvYFN4TDDFVsAMPI2FDjdDq1YcOGRE8DMA9VbABJythQAyCG+qxi50l/9w2q2ACSAqEGQN/6rWLPkSb+g2Tnbt0AkoOxocbn8/GYBCAaVLEBjFDGhhoAg1S3M3x66Z2NVLEBjEiEGiCVRarYv5KOvHN8O1VsACMQoQZINVSxARiKUAOkij6r2BM/rWLfTBUbwIhGqAFM1nXs0yr2ut6r2OVzJBdVbABmINQAJqKKDSAFGRtq0tPTdf3110depyLLstToDehAs1/7m/1qaOuQZSV6VoiXjK52ndv0mi48/LzOdr8V2e7PLNT7Z3xVu8/6uo5mnyMdlfTG4YTNEwDafW1x+VxjQ43T6dSLL76Y6GnEXXdw2dvg1f4mvz5p8emTJr/2N/t0oMUvf7Ar0VNEnE207dMt6a/r6+lvKt/mlyR1WTbVhCbpt10Veq2jXMfaMqS9QUnvJ3ayACApFPDH5XONDTWmsSxLde4OfVjfpr0NXu1t8OrDBq8+rG+Tp6Ozzz9ns0mugiyVFWXrrIIspXPthBGyutp0ydHNmtz6gs7u+DCyvSXzLG0vvF7bT7tObvsZOk3SPyZslgDQu4DfqzVx+FxCTZIJhSzVtvr1Yf2noaUhHGI+avDK18dRlzSbVDIqW+cU5ahsdI5KR2d/+pWjMYVZcmSk5uk343y2iv1h71XsUedcpWvS0nRNYmcKAP3yeDyEmsHw+Xw6/fTTJUkNDQ1J+ZgEf7BT7x9p057Dbdp92K09h9v03mFPn+ElI82mc4pydN4ZuRpfnKvxZ+RpfHGuzi3OkTOT4GIsqtgAMCDGhhpJ8vvjc85usCzLUr0nEAkuu+s82nPYo33Nvl4v3LVnpGl8cW4kvJx3Rq7Gn56n0tHZykznhmgpgSo2AAya0aEmUdztx/TOQbd2HTyqnbVHtav2qBraAr2+tyjXoQtd+brgrDxdeFa+LjgrX+cW5SiD8JKamj8Kn17a9Wuq2AAwSISaIQp0dmnP4Tbt+jS87Dx4VB83+k56X3qaTeOKc3TBWfmR8HLBWfkqznMkYNZIKpGnYq+VPnnj+Haeig0Ag0KoGaS2jmN665NWbd/fqq37W7Sr9qgCnaGT3jd2VLYmlZymSWMKdEnJaZroKlCWnete8Bl9PRV7/PTw85d4KjYADAqh5hTaOo7pLx+36M2PmrR1X4v2HPYodMJ1MKNy7Jo0piAcYkpO06Qxp2lUDr+M0It+n4o959OnYp+duPkBwAhGqDnBsa6QdtYe1ZYPm/TG3ibtrD2qrhNSzNhR2bq8rFBTykZp8jmjdG5RjmxcsIm+hELSJ/8Xvui3t6dil8+Ryq7kqdgAMETGhpq0tDRdddVVkdf9afEF9fp7Dfrje/X60wdN8gZ63syubHS2vji+SJ8/d7Qml43SmQXOuM0bBvEclnY+Jb29nio2AAwDY0NNVlaWqqur+xwPdHbp6f93QC/+9bB2HGjtcUqpMDtTXxxfpC+NL9IXxxepZFR2/CcMM/SoYr8iWZ9eb0UVGwDiLuahZvny5brvvvskSRdffLF27doln8+nRYsWqbCwUF6vV6tWrZLDEW799DcWL0f9Qd3y2F/03pHjD9SacGaepl9whqZdcLomjTlNaWn80sEg9FXFHntF+KJfqtgAEHcxDTWBQEC1tbXavHmzJKm0tFSSNG/ePM2aNUuzZs3S2rVrVVVVpYceeuiUY/EQ7AzpO+ve0ntH2jQqx667vjxe10w8Q2MKORqDQaKKDQBJxWZZvd3TNjpPPPGEmpubdffddys7OxwS6urqNG7cOLW2tsrpdKqxsVGlpaWqr69XW1tbn2N5eXmn/Ps8Ho8KCgrkdruVn5/fY8zn86msrEyStH///shjEn70/Lta++dPlOvI0MZ5V2jCmfknfizQv0gVe4MU8IS3UcUGgAHr7/f3UMT0SM369eu1ZcsWLV++XI8++qhuvfVWVVdXq6ioSE5n+OLa4uJi2e12bd26VfX19X2OTZs27aTPDwQCCgSO35nX4/H0O5+mpqYe329866DW/vkTSdJPv3kJgQYDRxUbAJJeTENNdXW1mpub9fDDD2vOnDkqLCzUoUOHNGpUz4ZHXl6e6urqdOTIkT7HerNixQrdf//9Uc1td51H//m78C+je6adp69MOCOqz0EKoYoNACNKzC8UHj16tJYuXSqbzaY1a9bommuuiRyJ6RYMBpWZmSmbzdbnWG+qqqq0YMGCyPcej0clJSWnnFPHsS5997dvK9AZ0pfPL9Y9086L4idDyqCKDQAjUtwq3fPnz9eGDRvkcrnkdrt7jHm9XrlcLoVCoT7HeuNwOKJqRq159QN9UO9VUa5dq2+aRLMJJ6OKDQAjXtxCTVpamsrLy1VRUaE777xTwWBQdrs9cmppypQpGj9+fJ9jsfTLNz9Rmt2pVd+4WKNzeYAkPoMqNgAYI2ahpqmpSS+88IJmz56ttLQ0rV69WsuWLZPL5dKMGTNUU1Ojq6++Wps2bVJlZaWcTme/Y7H2T5eXaNoFXEcD9V3FzimWJn0zHGaoYgPAiBOzSve+ffs0ffp0paena+rUqVqwYIEmTpwoKRx4Fi9erLKyMrW0tGjlypWy2+2nHDuV/iph7e3tuuDSv9dhd4cm3PETVS++VoU8ZDK19VfFLp8TrmKn9349FwAgduJV6Y7pfWqGW3+L0uwN6MoHXpcv2KUHvnGxbp586guKYaD2VumvG6S311LFBoAkMSLuU5NMHnn9I/mCXbro7HzdeNmYRE8Hw+mzVezdz0tdn97biCo2ABjNyFBzsNWv9X8J32TvBzMm0HZKFVSxASClGRlqHv/Tx+ro8Kv5V3dp9m8c2r17d+SxDTBMpIq9NvxfqtgAkLKMCzVH/UE9s/2gZEn+5iP6pFkawZcNoS/dVeydT0u+huPbqWIDQMoyLtQ89f8OqP1Yl84/M0+1iZ4MYosqNgCgH0aFms6ukH715n5J0u1fLNOriZ0OYsGypMM7wxf9UsUGAPTDqFCz5cMmNbQFNCrHrusuOivR08FQUMUGAAySUaFm446DkqSvTXLJnkFdd8Shig0AGAJjQo27/Zg27w4/u4f70owwVLEBADFgTKh57b16BTtDOu/0XE105au9vV0XXnihJMlGnTf59FvFvlEqn00VGwAwKMaEmlf3hGu910w8QzabTdnZ2frb3/6W4FnhJE17pbfX9V7FLp8jXfh1qtgAgKgYEWqCnSH96f1GSeJJ3Mko6A9fI/P2OqrYAIC4MSLU7DxwVG2BThXl2nXJmNMSPR1IVLEBAMPOiFCz40CrJOmKcUWR5zz5/X5NnjxZkrRt2zYekzBc+qxil4aPyFDFBgDEiRGh5q1PQ83kssLINsuytHv37shrxFGkir1W2v17qtgAgIQwItTsqm2VbE5dXkrtd1hFqtjrpNb9x7dTxQYAJIARocYfDKkgP0Pnn5mX6KmYr+uY9MEr4SBDFRsAkESMCDWSNPHsfKWn8Ys0bqhiAwCSnDGhZsKZ+YmegnmoYgMARhCDQg2nnmIiUsVeK72zkSo2AGDEMCbUnHg9jc1mU2lpaeQ1TqG7ir1jrVRPFRsAMPIYE2rOLcrt8X12drb279+fmMmMFP1Wsb8WvuiXKjYAYIQwItTkOtKVn2XEjzI8PHXhC357q2JfNlf6u5uoYgMARhwjkoDrtCxOMZ0KVWwAgOEMCTXOk7a1t7fryiuvlCT96U9/UlZW1nBPKzlQxQYApAgjQs1ZBScHllAopO3bt0depxSq2ACAFGREqBmd40j0FBKPKjYAIMUZEWpOy0nhX9RUsQEAkGRIqCnMsid6CsMrFJL2bwmfXqKKDQCAJENCzWnZKXKkhio2AAB9ItQkO6rYAAAMiBGhJtfR+49RVFQ0zDOJoaa90ttrpZ2/pooNAMAAGBFqsuwn/xg5OTlqbGxMwGyGoLuKvWOtdODN49upYgMAcEpmhJrM9ERPIXr9VrGvDp9eoooNAMApGRFqHBkjsOXTXxW7fLY0iSo2AACDYUSoSUs7+SLZ9vZ2XXfddZKkl19+OTkek0AVGwCAuDEi1PQmFAqppqYm8jqhPHXSzqekt9f3rGKfcVH4ol+q2AAADJmxoSbhuqvYO9ZKezf3UsWeI7kupYoNAECMEGpijSo2AAAJQaiJBarYAAAkHKEmWpYl1b0dvuiXKjYAAAlHqBksqtgAACQlo0NNdnZ2bD6ozyq2Q7rgBqrYAAAkAWNDTU5Ojnw+39A+hCo2AAAjhrGhJmpUsQEAGJEINd36rGJ/IXx6iSo2AABJzdhQ09HRoW984xuSpP/5n/+R0+k8+U39VbEv+edwFbvovGGaMQAAGApjQ01XV5deeumlyOsIqtgAABjJ2FBzEn+L9M4Gacc6qtgAABgoNULN7+ZJ+/63lyr2HKlsKlVsAAAMYGao8dRJf/7F8e93PyfZbVSxAQAwWFKEGp/Pp0WLFqmwsFBer1erVq2Sw+EY3IecWMUOfOY6mktnS1/4NlVsAAAMlhTnXebNm6fp06dr2bJlKi8vV1VV1eA+4LXl0kMXSr/9lvThK+F7y5T8/fHx6x+Qzi4n0AAAYDCbZVlWIidQV1encePGqbW1VU6nU42NjSotLVV9fb3y8vJ6vDcQCCgQCES+d7vdGjt2rGq/l6t8h03KLgqfWpp0i3zOM+VyuSJ/R04O95gBACAZeDwelZSU6OjRoyooKIjdB1sJ9tRTT1ljxozpsa2goMB69dVXT3rvkiVLLEl88cUXX3zxxZcBXx999FFMM0XCr6k5dOiQRo3qedFuXl6e6urqTnpvVVWVFixYEPn+6NGjKi0t1YEDB2Kb9FJMd2Kura1Vfn5+oqczorGWscNaxgbrGDusZex0n2k58ff/UCU81NhstpPu9hsMBpWZefLN7xwOR68XEBcUFLCDxUB+fj7rGCOsZeywlrHBOsYOaxk7aTG+pUrCLxR2uVxyu909tnm93sj1MAAAAAOR8FBTUVGhgwcPKhgMSlLktNOUKVMSOS0AADDCJDzUuFwuzZgxQzU1NZKkTZs2qbKysvcHUJ7A4XBoyZIlg7+nDXpgHWOHtYwd1jI2WMfYYS1jJ15rmfBKtyQ1NTVp8eLFKisrU0tLi1auXCm73Z7oaQEAgBEkKUINAADAUCX89BMAAEAsEGoAAIARCDUAAMAIhBoAAGCEhN9RuDc+n0+LFi1SYWGhvF6vVq1a1Wvt6/e//73++Mc/KhAI6MYbb9T06dMHNJZKYrGWPp9PJSUlam1tlSQ9++yzmjVr1rD9DMlgoOvY1NSkBx54QD6fT4888kiPMfbJsFisJftk2EDW0u1264477tArr7yicePG6Wc/+5k+//nPR8bZL2OzjuyTYQNZy66uLs2fP19PP/20SktLtXbtWl166aWR8SHtkzF9klSMzJ4923r22Wcty7KsX/3qV9b3vve9k96zZ88ea/LkyVYoFLK6urqsSy+91Dp48OApx1LNUNfSsizrpz/9qfXMM89YmzdvtjZv3mx1dnYO2/yTxUDW0bIs66233rK+9rWvWXPnzu2xnX3yuKGupWWxT3YbyFpWVVVZTz/9tLV9+3brhhtusE4//XTL6/ValsV+2W2o62hZ7JPdBrKW69evt/785z9bDQ0N1vXXX2998YtfjIwNdZ9MulBz6NAhy+l0Wu3t7ZZlWVZDQ4OVlZVleTyeHu/7zne+Y/3whz+MfF9ZWWn953/+5ynHUkks1rKzs9O65pprrPfee2/4Jp5kBrqO3X74wx+e9IuYfTIsFmvJPhk20LX84x//GHntdrutzMxMa+vWrZZlsV9aVmzWkX0ybKBr6ff7I6//8Ic/WFdeeWXk+6Huk0l3TU11dbWKiooidxQuLi6W3W7X1q1be7zvtddeU2lpaeT78847L3JX4v7GUkks1nLTpk164403NGHCBF177bVqaGgYvh8gSQx0Hbv19oA29smwWKwl+2TYQNfyK1/5SuR194MYx4wZI4n9UorNOrJPhg10LbOysiKvd+/erR//+MeR74e6TyZdqDl06NBJjyLPy8uLPBOqr/d99j39jaWSWKzlddddp7a2NtXU1OjQoUO64YYbFAqF4j/5JDLQdRzMZ7BPHjfYtWCfDItmLT/44ANVVFTorLPO6vUzUnG/jMU6sk+GDWYtm5ub9V//9V965JFHejzUeqj7ZNKFGpvNdtJzn4LBoDIzM/t932ff099YKonFWnaPX3nllXr99de1d+9e/eUvf4nvxJPMQNdxMJ/BPnlcNGuR6vukFN1aPvLII3rwwQf7/IxU3C9jsY7dn8M+OfC1zMvL0/XXX6/Jkydr1qxZqq2t7fUzBrtPJl2ocblcPVKbJHm9Xrlcrn7f19bWFnlPf2OpJBZr+VnFxcW6+eabIztfqhjoOg7mM9gnjxvsWn5Wqu6T0uDX8pVXXtFXvvIVnXPOOX1+Rirul7FYx89inxzYWtrtdl1++eX67W9/q5KSkkgIHOo+mXShpqKiQgcPHlQwGJSkyGGnKVOm9HjftGnT9MEHH0S+37t3r7785S+fciyVxGItT5SRkaFLLrkkPhNOUgNdx/6wT4bFYi1PlIr7pDS4tfzb3/6mAwcO6Otf/3qP7eyXsVnHE7FPDvzfd3p6uiZNmqSzzz5b0tD3yaQLNS6XSzNmzOhxoWplZaWcTqdWr16t999/X5L0b//2b3r11VclSZ2dndq6dav+9V//9ZRjqSQWa/n8889rz549kqT3339f+fn5Ov/88xPw0yTOQNexmxVuFfbYxj4ZFou1ZJ8MG+hafvTRR3r88cd19dVXa//+/dq1a5d+9rOfSWK/lGKzjuyTYQNdy927d6ulpUWSdPToUXV2duqKK66QFIN9MpraVrw1NjZa3/72t62lS5da3/ve96xAIGBZlmWVl5dbGzZsiLzvySeftL7//e9bd999t/Xaa6/1+Iz+xlLJUNfy3nvvtfLy8qyZM2daq1evtrq6uob9Z0gGA13H7du3W1OnTrUmTJhg1dTU9PgM9smwoa4l++Rxp1rLuro6a8yYMZakHl+/+c1vIp/Bfjn0dWSfPG4g/75vv/12a/To0da//Mu/WPfee69VX1/f4zOGsk/aLOuE/w0CAAAYgZLu9BMAAEA0CDUAAMAIhBoAAGAEQg0AADACoQYAABiBUAMAAIxAqAEAAEYg1AAAACMQagAAgBEINQAAwAiEGgAAYIT/DwgD3OGjlOPRAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wb,Vb)\n",
    "plt.plot(ws,Vs)\n",
    "plt.xlim(0,0.3)\n",
    "plt.ylim(0,3000)\n",
    "plt.plot((0.005,0.005),(0,3000),ls='--',color='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "5c3ab52f-d600-4e48-9462-721d73c0231b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Built\n",
      "Pushover analysis completed\n",
      "Done\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING analysis Static - no Integrator specified, \n",
      " StaticIntegrator default will be used\n"
     ]
    }
   ],
   "source": [
    "#Units in m and kN\n",
    "import openseespy.opensees as op\n",
    "op.wipe()\n",
    "op.model('basic', '-ndm', 2, '-ndf', 3) \n",
    "\n",
    "op.node(1, 0.0, 0.0)\n",
    "op.node(2, 0.0, 0.0)\n",
    "\n",
    "op.fix(1, 1, 1, 1)\n",
    "nodeR = 1\n",
    "nodeC = 2\n",
    "op.equalDOF(nodeR, nodeC, 2, 3)\n",
    "\n",
    "matTag1 = 5\n",
    "ePf1 = 500\n",
    "ePd1 = 0.006\n",
    "k1 = ePf1/ePd1\n",
    "\n",
    "ePf2 = 650\n",
    "ePd2 = 0.09\n",
    "k2 = (ePf2-ePf1)/(ePd2-ePd1)\n",
    "\n",
    "sigAct = ePf1\n",
    "beta =0.45\n",
    "epsSlip = 0.0\n",
    "epsBear = 0.2\n",
    "\n",
    "ePf3 = 2000\n",
    "ePd3 = 0.4\n",
    "\n",
    "k3 = (ePf3-ePf2)/(ePd3-ePd2)\n",
    "\n",
    "rBear = k3/k1\n",
    "\n",
    "op.uniaxialMaterial('SelfCentering',matTag1,k1,k2,sigAct,beta,epsSlip,epsBear,rBear)\n",
    "matTag2 = 6\n",
    "K = 800/0.3\n",
    "op.uniaxialMaterial('Elastic',matTag2,K,0,1e10)\n",
    "\n",
    "#matTag3 = 7\n",
    "#k2 = ePf2/ePd2\n",
    "#dy = ePd1\n",
    "#Fy = k2*dy\n",
    "#b = 0\n",
    "\n",
    "#op.uniaxialMaterial('Steel01',matTag3,Fy,k2,b)\n",
    "\n",
    "ParMatTag = 8\n",
    "op.uniaxialMaterial('Parallel',ParMatTag,matTag1,matTag2)\n",
    "\n",
    "\n",
    "eleID = 5\n",
    "\n",
    "op.element('zeroLength', eleID, nodeR, nodeC, '-mat', ParMatTag, '-dir',1)\n",
    "\n",
    "print(\"Model Built\")\n",
    "\n",
    "op.recorder('Node', '-file', 'Force.out','-node', 1, '-dof', 1, 'reaction')\n",
    "op.recorder('Node', '-file', 'DispS.out','-node', 2, '-dof', 1, 'disp')\n",
    "\n",
    "displist = [3/1000,0,3/1000,0,10/1000,0,10/1000,0,20/1000,0,20/1000,0,30/1000,0,30/1000,0,50/1000,0,50/1000,0,100/1000,0,100/1000,0,150/1000,0,150/1000,0,200/1000,0,200/1000,0,300/1000,0,300/1000,0,500/1000,0,500/1000,1000/1000,0,1000/1000,0]\n",
    "#displist = [50/1000,0,50/1000,0]\n",
    "dstep = 1/1000\n",
    "ctrlNode = 2 # node where disp is read for disp control\n",
    "dof  = 1 # degree of freedom read for disp control (1 = x displacement)\n",
    "\n",
    "POtag = 100;\n",
    "linTS = 2\n",
    "op.timeSeries('Linear',linTS)\n",
    "\n",
    "op.pattern('Plain', POtag, linTS)     \n",
    "op.load(ctrlNode,1,0,0)\n",
    "op.reactions()\n",
    "Disp = [op.nodeDisp(ctrlNode,dof)]\n",
    "force = [op.nodeReaction(1,dof)]\n",
    "\n",
    "testParams = [1.e-4, 50]\n",
    "\n",
    "op.numberer('RCM') # renumber dof's to minimize band-width (optimization), if you want to\n",
    "op.system('BandGeneral') # how to store and solve the system of equations in the analysis\n",
    "op.constraints('Plain') # how it handles boundary conditions\n",
    "op.test('NormDispIncr',*testParams) # determine if convergence has been achieved at the end of an iteration step\n",
    "op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "op.analysis('Static') # define type of analysis static or transient\n",
    "\n",
    "ok = 0\n",
    "for j in range(0,len(displist)):\n",
    "    if(ok != 0):\n",
    "        break\n",
    "    dispnew = displist[j]\n",
    "    if(j > 0):\n",
    "        dispold = displist[j-1]\n",
    "    else:\n",
    "        dispold = 0\n",
    "    disp = dispnew - dispold\n",
    "    if(disp > 0):\n",
    "        dsteps = dstep\n",
    "    else:\n",
    "        dsteps = -dstep\n",
    "    nstep = int(disp/dsteps)\n",
    "    op.integrator('DisplacementControl', ctrlNode, dof, dsteps) # determine the next time step for an analysis\n",
    "    for i in range(nstep):\n",
    "        ok = op.analyze(1)\n",
    "        if(ok != 0):\n",
    "            testParams2 = [1.e-4, 2000]\n",
    "            op.test('EnergyIncr',*testParams2)\n",
    "            op.algorithm('Newton','-initial')\n",
    "            print(\"Trying Newton with Initial Tangent ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok!= 0):\n",
    "            op.algorithm('Broyden',50)\n",
    "            op.test('RelativeNormDispIncr',*testParams2)\n",
    "            print(\"Trying Broyden ..\")\n",
    "            ok = op.analyze(1) \n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok != 0):\n",
    "            op.algorithm('NewtonLineSearch')\n",
    "            print(\"Trying NewtonWithLineSearch ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "        if(ok == 0):\n",
    "            #ctrlDisp.append(op.nodeDisp(ctrlNode,dof))\n",
    "            #force.append(op.nodeReaction(1,dof))\n",
    "            dsp = round(op.nodeDisp(ctrlNode,dof),3)\n",
    "            #print(f'Displacement {dsp} reached of {dispnew}')\n",
    "        else:\n",
    "            break\n",
    "print('Pushover analysis completed')\n",
    "\n",
    "if(ok != 0):\n",
    "    print('Problem with Pushover')\n",
    "else:\n",
    "    print('Done')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "df747cab-a5d6-4885-843c-e25787f644cf",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "f = np.loadtxt('Force.out')\n",
    "d = np.loadtxt('DispS.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "db4ca0ad-455a-4f07-9873-db07d6145c6e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8452"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "f58809fa-ef76-4542-adde-257f112cb2c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "pullC = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/DDBD/ResultsBP/disp_Cyclic.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "1fdc9066-77d5-426d-a02e-64f23da8a124",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2507a619890>"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.title('Half Cycle Pushover')\n",
    "plt.plot((pullC[:,1]),(pullC[:,0]),label='Bakalis et al. (2017)')\n",
    "plt.plot(d,-f,label='Calibrated Self-Centering uniaxial zero length spring')\n",
    "#plt.plot((dy,dy),(0,2000),color='k',ls='--')\n",
    "#plt.plot((dc,dc),(0,2000),color='k',ls='--')\n",
    "#plt.plot((0,0.3),(Fc,Fc),color='k',ls='--')\n",
    "plt.ylim(-50,3000)\n",
    "plt.xlim(0,0.4)\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.legend()\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure3_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "6084e076-c410-4fe6-b55f-bb532043f32b",
   "metadata": {},
   "outputs": [],
   "source": [
    "inx = []\n",
    "for i in range(0,len(pullC[:,1])-1):\n",
    "    if(i == 0):\n",
    "        inx.append(1)\n",
    "    if(pullC[i-1,1]>pullC[i,1] and pullC[i+1,1]>pullC[i,1]):\n",
    "        inx.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "31ce15d9-e6b6-4172-9b2c-5c099c849876",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "inxN = []\n",
    "for i in range(0,len(d)-1):\n",
    "    if(i == 0):\n",
    "        inxN.append(1)\n",
    "    if(d[i-1]>d[i] and d[i+1]>d[i]):\n",
    "        inxN.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "a222c9fc-b4ca-45ef-875a-78a6f1a6a85e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(inxN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "4bfa9804-0c0a-42e6-b5bd-77fa89c125e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2507aec6910>]"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n =16\n",
    "plt.plot(pullC[inx[n]:inx[n+1],1],pullC[inx[n]:inx[n+1],0])\n",
    "plt.plot(d[inxN[n]:inxN[n+1]],-f[inxN[n]:inxN[n+1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "8bc1d105-9a43-4506-a399-a7f6d6089fad",
   "metadata": {},
   "outputs": [],
   "source": [
    "E = np.zeros(len(inx))\n",
    "ksi = np.zeros(len(inx))\n",
    "dmax = np.zeros(len(inx))\n",
    "\n",
    "for i in range(1,len(inx)):\n",
    "    E[i] = 0.0\n",
    "    for j in range(inx[i-1],inx[i]):\n",
    "        E[i] = E[i] + 2*0.5*(pullC[j-1,0]+pullC[j,0])*(pullC[j,1]-pullC[j-1,1])\n",
    "    ksi[i] = E[i]/(2*np.pi*max(pullC[inx[i-1]:inx[i],0])*max(pullC[inx[i-1]:inx[i],1]))\n",
    "    dmax[i] = max(pullC[inx[i-1]:inx[i],1])\n",
    "    \n",
    "Eabs = np.zeros(len(E))\n",
    "\n",
    "for i in range(1,len(Eabs)):\n",
    "    Eabs[i] = Eabs[i-1]+E[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "cd497325-17df-4730-901e-96cd8a5a3d3f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EN = np.zeros(len(inxN))\n",
    "ksiN = np.zeros(len(inxN))\n",
    "dmaxN = np.zeros(len(inxN))\n",
    "\n",
    "for i in range(1,len(inxN)):\n",
    "    EN[i] = 0.0\n",
    "    for j in range(inxN[i-1],inxN[i]):\n",
    "        EN[i] = EN[i] + 2*0.5*(-f[j-1]-f[j])*(d[j]-d[j-1])\n",
    "    ksiN[i] = EN[i]/(2*np.pi*max(-f[inxN[i-1]:inxN[i]])*max(d[inxN[i-1]:inxN[i]]))\n",
    "    dmaxN[i] = max(d[inxN[i-1]:inxN[i]])\n",
    "    \n",
    "EabsN = np.zeros(len(EN))\n",
    "\n",
    "for i in range(1,len(EabsN)):\n",
    "    EabsN[i] = EabsN[i-1]+EN[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "a67df84f-72bb-46b9-af8f-e6560ed1f6e7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1028322973659772"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(Eabs[10:])))\n",
    "\n",
    "for i in range(10,len(Eabs)):\n",
    "    RE[i-10] = abs(Eabs[i]-EabsN[i])/Eabs[i]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "MRE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "4738695a-a451-4b2c-9bc3-b4f4f90cc80a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9937452557807862"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(EabsN[10:],Eabs[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "5a16e17b-3184-421f-b4ff-4e95bc52b3d7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.16281197318719698"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REk = np.zeros((len(ksi[10:])))\n",
    "\n",
    "for i in range(10,len(ksi)):\n",
    "    REk[i-10] = abs(ksi[i]-ksiN[i])/ksi[i]\n",
    "    \n",
    "MREk = np.mean(REk)\n",
    "MREk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "159cad2e-1d98-4620-a0b1-03b556cdd3b4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8665300518510988"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(ksiN[10:],ksi[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "054a8fcb-e882-4d83-83a2-c07ab0efd145",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x25076d12510>"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(dmax,Eabs,color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN,EabsN,color='grey',label='Simplified uniaxial material, MRE = '+str(round(MRE,2)))\n",
    "plt.xlim(0,1)\n",
    "plt.ylim(0,1500)\n",
    "plt.xlabel(r'Uplift, $w$ (m)',fontsize=12)\n",
    "plt.ylabel(r'Absorbed Energy (kJ)',fontsize=12)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(dmax[10:]/wy,ksi[10:],'o',color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN[10:]/wy,ksiN[10:],'o',color='grey',label=r'Simplified uniaxial material, MRE = '+str(round(MREk,2)))\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Uplift Ductility, $\\mu_{w}$',fontsize=12)\n",
    "plt.ylabel(r'Equivalent Viscous Damping Ratio, $\\xi_{eq}$',fontsize=12)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "16ef7c75-7034-45ab-a002-2b6169bb791b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "9c6f3117-4d40-43a9-b383-281611154d46",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "n = np.linspace(0,145,145, dtype='int')\n",
    "gamma = fillr*H/R\n",
    "vn = np.zeros(len(n))\n",
    "for i in range(len(n)):\n",
    "    vn[i] = np.pi*(2*n[i]+1)/2\n",
    "    \n",
    "I1 = np.zeros(len(n))\n",
    "I1p = np.zeros(len(n))\n",
    "\n",
    "for i in range(len(n)):\n",
    "    I1[i] = scp.special.i1(vn[i]/gamma)\n",
    "    I1p[i] = scp.special.i0(vn[i]/gamma)- scp.special.i1(vn[i]/gamma)/(vn[i]/gamma)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "id": "0a9f2a36-d2d5-4e74-b1ca-ea509eb383ee",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "mi = np.sum(2*mtot*gamma*(I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "07e3d09a-14ce-4bb6-9903-e29ede87766d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5917228188566012"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mi/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "3efc7029-16bb-4e1b-9771-27a104f8cc83",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hi = H*np.sum((-1)**n*I1*(vn*(-1)**n-1)/(vn**4*I1p))/np.sum((I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "id": "25ad76c9-630b-4d1d-a1a6-e62e0f3bb6bf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.702689319167032"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "id": "a3d5dd75-7b72-4f12-bd07-715b4030b4b0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Ci = 6.2\n",
    "ro = 998\n",
    "tw = 17.7/1000\n",
    "Es1 = Es*1000\n",
    "Ti = Ci*H*(ro/Es1)**0.5/(tw/R)**0.5\n",
    "ki = 4*np.pi**2*mi/Ti**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "id": "2e45154f-e4df-4acf-930d-cd559ee56f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lam1 = 1.8412\n",
    "mc = mtot*2*np.tanh(lam1*gamma)/(lam1*gamma*(lam1**2-1))\n",
    "g = 9.805"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "93573e94-9f8e-4e4c-8f31-d945e6d0afb1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.39055060338333925"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mc/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "04f8ac5b-d211-4ca9-a2ff-d92fdea792e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hc = H*(1+(1-np.cosh(lam1*gamma))/(lam1*gamma*np.sinh(lam1*gamma)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "7dd64463-8374-4845-94c7-955885dc89da",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.324095026568012"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "b423bbaa-34a3-41e6-859e-e2c41b361993",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Tc = 2*np.pi*(R/g)**0.5/(lam1*np.tanh(lam1*H/R))**0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "30b5435d-da2f-4918-8382-0134ce3d536c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.583430116180643"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "266cb6a2-8640-40d5-8137-27f94562bdd7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Base_Shear(L):\n",
    "    mm = 1-((L)/(2*R))\n",
    "    thm = np.arctan(mm/(1-mm))\n",
    "    km = (2/(thm)**2)*(1-np.cos(thm))\n",
    "    Wsm = Wtot*(1-mm**2)\n",
    "    Wfm = Wtot-Wsm\n",
    "    Mm=Wsm*km*R+Wfm*R*(1-mm)\n",
    "    Vm = Mm/hi\n",
    "    return Vm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "id": "3e66127a-61ce-43ab-b015-7ab0b830ea9f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Vyt = Base_Shear(Ly)\n",
    "dy = wy*hi/(2*R)+Vyt/ki"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "3d2a5b72-8f01-472c-944b-018a0258dd3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002910989496898519"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "63ea2ff4-e3d1-4427-9114-be7e647584e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jmI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/DDBD/ResultsJM/dispI.out')\n",
    "upliftI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/DDBD/ResultsJM/UpliftI.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "id": "cc93b6fc-22d1-418d-960d-5636073fd3f7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "75.70057373849977\n"
     ]
    }
   ],
   "source": [
    "ApoI = np.trapz(jmI[:,0],jmI[:,1])\n",
    "dyI = 0.003\n",
    "VyI = 7500\n",
    "dmaxI = 0.1\n",
    "VmaxI = jmI[-1,0]\n",
    "\n",
    "AblI = dyI*VyI*0.5+(VmaxI+VyI)*0.5*(dmaxI-dyI)\n",
    "print(abs(AblI-ApoI))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "4281113e-0cea-4160-afeb-a2d966b67a31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 34558.965000000004)"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jmI[:,1],jmI[:,0])\n",
    "plt.plot((0,dyI),(0,VyI),color='k')\n",
    "plt.plot((dyI,dmaxI),(VyI,VmaxI),color='k')\n",
    "plt.plot((0,dmaxI),(0.1*VyI,0.1*VyI),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "id": "ac759354-8b47-4699-a038-c894e3e33f51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08918481244033816"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(Vyt-VyI)/VyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "id": "c54c0929-aefb-4cb2-b10e-cf4dd86e61f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.468618272341621"
      ]
     },
     "execution_count": 145,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(upliftI[:,1],jmI[:,1])\n",
    "plt.plot(upliftI[:,1],upliftI[:,1]*(hi/(2*R))+jmI[:,0]/ki)\n",
    "plt.ylabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "(wpl1*hi/(2*R)*1.2)/dyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "d8cb99fd-4d64-41cc-a6cd-23760dbf6a03",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.0008620057482734926"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),1]\n",
    "Vpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),0]\n",
    "\n",
    "Vpl1t = Base_Shear(Lpl1)\n",
    "\n",
    "(Vpl1t-Vpl1)/Vpl1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "681217ff-e09b-4aec-8e9b-9193bf710f5b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "078460f4-d7a7-4815-b0a7-0930d4dbcd6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/disp5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "73e31d76-26b9-4599-b5ba-c969aa2d82be",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fbc8bba50>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,0],dspring[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "520274a1-791a-4f8a-b37f-ee1911cc62b5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "fspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/force5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "15998b60-27c3-45a2-986c-ded8552c61ee",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc08ae390>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(fspring[:,0],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "bd6debf1-9819-4607-91ef-030fda5d939a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc07da650>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,1],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1873dd9b-488e-4897-9e27-d191a84a4631",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
